This project site was created as a supplementary digital resource to support pre-service teachers who are learning how to diagnose and correct math problems. The content of this project is based on the teachings of Dr. Rosalind Duplechain, Associate Professor of Mathematics Education, in the Department of Learning and Teaching at the University of West Georgia.
The technology integration conceptualization of this project is based on the work of Dr. Danilo M. Baylen, Professor of Media and Instructional Technology, in the Department of Educational Technology and Foundations.
The project was funded by the University of West Georgia Institutional STEM (Science, Technology, Engineering and Math) grant from the University System of Georgia Board of Regents.
Steps for Diagnosing Math Problems
Pre-Data collection
Analyze the data
Make a pre-diagnosis
Interview
Make a final diagnosis
Pre-Data Collection
1. After a brief introduction and statement of purpose, the teacher asks the learner to complete a worksheet of math problems.
Click on the image to your the right to view a video clip (2:52 minutes) of this task. You can also click the URL listed below to play the video clip: http://www.westga.edu/~dbaylen/assets/predatacollection.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser. NOTE: Sometimes a delay in playing the video clip happens due to bufferring.
Video Clip "A"
If you watched this video clip
please click on this LINK to provide us
feedback on how we can improve it.
2. The teacher uses flash cards to collect more data about the learner's math knowledge and skills (basic facts).Based on the learner's responses, the teachers organizes the flash cards in three piles.NOTE: The teacher counts three seconds with each flash card to help determine the appropriate pile.
Click on the image to your the right to view a video clip (2:10 minutes) of this task. You can also click the URL listed below to play the video clip: http://www.westga.edu/~dbaylen/assets/flashcards.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "B"
If you watched this video clip
please click on this LINK to provide usfeedback on how we can improve it.
3. Teacher uses the piles to complete a Basic Facts' Card as part of the diagnosis.NOTE: Which basic facts are not mastered?
Click on the image on your the right to view a video clip (51 seconds) or the URL listed below: http://www.westga.edu/~dbaylen/assets/flashcarddiagnosis.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "C"
If you watched this video clip
please click on this LINK to provide usfeedback on how we can improve it.
Interview
4. Teacher interviews the learner about her disposition to math and math abilities, any supports she has in and out of the classroom, and her strategies for memorizing information.
Click on the image on your the right to view a video clip (7 minutes) or the URL listed below: http://www.westga.edu/~dbaylen/assets/interview.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "D"
If you watched this video clip
please click on this LINK to provide us feedback on how we can improve it.
5. Teacher asks the learner to complete several math problems. This time, the learner is asked to talk out loud as she completes each problem. "Here is a problem. Please solve it and as you do, talk out loud so I can hear what you're thinking".
Click on the image on your the right to view a video clip (4:16 minutes ) or the URL listed below: http://www.westga.edu/~dbaylen/assets/problemsolving.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "E"
If you watched this video clip
please click on this LINK to provide usfeedback on how we can improve it.
Steps for Correcting Math Problems
Basic Facts' Errors
Teach the meaning of the operation (See item 1 below)
Teach and practice a number strategy for each un-mastered basic fact (See item 2 below)
Work on automaticity (three seconds or less response)
1. Teacher asks the learner to create a visual representation of the math problems presented to her. "Draw me a picture that shows what _ means".
Click on the image on your the right to view a video clip (5:22 minutes) or the URL listed below: http://www.westga.edu/~dbaylen/assets/visual_problemsolving.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "F"
If you watched this video clip
please click on this LINK to provide usfeedback on how we can improve it.
2. Teacher uses a game to teach a number strategy to the learner.
Click on the image on your the right to view a video clip (6:04 minutes) or the URL listed below: http://www.westga.edu/~dbaylen/assets/game.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "G"
If you watched this video clip
please click on this LINK to provide usfeedback on how we can improve it.
non-Basic Facts' Errors
Conceptual only (see items 1-2 below)
Intermediate
Procedural only
Independent practice
1. Teacher uses manipulatives to engage learner in solving math problems, starting with basic facts.
Click on the image on your the right to view a video clip (10:18 minutes) or the URL listed below: http://www.westga.edu/~dbaylen/assets/manipulatives.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "H"
If you watched this video clip
please click on this LINK to provide usfeedback on how we can improve it.
2. Teacher uses manipulatives to further engage learner more in solving math problems, continuing with a 2-digit x a 1-digit number.
Click on the image on your the right to view a video clip (2:17 minutes) or the URL listed below: http://www.westga.edu/~dbaylen/assets/manipulatives_trade.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
Video Clip "I"
If you watched this video clip
please click on this LINK to provide us
feedback on how we can improve it.
The Joy of Mathematics
This project site was created as a supplementary digital resource to support pre-service teachers who are learning how to diagnose and correct math problems. The content of this project is based on the teachings of Dr. Rosalind Duplechain, Associate Professor of Mathematics Education, in the Department of Learning and Teaching at the University of West Georgia.
The technology integration conceptualization of this project is based on the work of Dr. Danilo M. Baylen, Professor of Media and Instructional Technology, in the Department of Educational Technology and Foundations.
The project was funded by the University of West Georgia Institutional STEM (Science, Technology, Engineering and Math) grant from the University System of Georgia Board of Regents.
Steps for Diagnosing Math Problems
Pre-Data Collection
Click on the image to your the right to view a video clip (2:52 minutes) of this task. You can also click the URL listed below to play the video clip: http://www.westga.edu/~dbaylen/assets/predatacollection.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser. NOTE: Sometimes a delay in playing the video clip happens due to bufferring.
please click on this LINK to provide us
feedback on how we can improve it.
Click on the image to your the right to view a video clip (2:10 minutes) of this task. You can also click the URL listed below to play the video clip: http://www.westga.edu/~dbaylen/assets/flashcards.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide usfeedback on how we can improve it.
Click on the image on your the right to view a video clip (51 seconds) or the URL listed below:
http://www.westga.edu/~dbaylen/assets/flashcarddiagnosis.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide usfeedback on how we can improve it.
Click on the image on your the right to view a video clip (7 minutes) or the URL listed below:
http://www.westga.edu/~dbaylen/assets/interview.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide us feedback on how we can improve it.
Click on the image on your the right to view a video clip (4:16 minutes ) or the URL listed below: http://www.westga.edu/~dbaylen/assets/problemsolving.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide usfeedback on how we can improve it.
Steps for Correcting Math Problems
Basic Facts' Errors
Click on the image on your the right to view a video clip (5:22 minutes) or the URL listed below:
http://www.westga.edu/~dbaylen/assets/visual_problemsolving.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide usfeedback on how we can improve it.
Click on the image on your the right to view a video clip (6:04 minutes) or the URL listed below: http://www.westga.edu/~dbaylen/assets/game.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide usfeedback on how we can improve it.
non-Basic Facts' Errors
Click on the image on your the right to view a video clip (10:18 minutes) or the URL listed below:
http://www.westga.edu/~dbaylen/assets/manipulatives.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
please click on this LINK to provide usfeedback on how we can improve it.
Click on the image on your the right to view a video clip (2:17 minutes) or the URL listed below:
http://www.westga.edu/~dbaylen/assets/manipulatives_trade.wmv
If this does not work, highlight and copy the URL and then, paste it to your computer's browser.
If you watched this video clip
please click on this LINK to provide us
feedback on how we can improve it.
Thank you for viewing our
digital resource project site.
Please complete the
Overall Project Feedback Survey.
please contact Dr. Rosalind Duplechain at rduplech@westga.edu.